ECAT Pre Engineering MCQ Test With Answer for Chapter 2 Mathematics

If A⊆ B, and B is a finite set, then

• n (a) < n(B) A
• n(B)<(A) B
• n(A)≤ n (B) C
• n(A)≥ n(B) D

A∪(A∪B)= --------------------

• B A
• A B
• A∪B C
• None of these D

To each element of a group there corresponds ............. inverse element

• Two A
• One B
• No C
• Three D

Which of the following sets is finite

• The set of natural numbers between 3 and 10 A
• The set of rational numbers between 3 and 10 B
• The set of real numbers between 0 and 1 C
• The set of rational numbers between 0 and 1 D

The set of the first elements of the orders pairs forming a relation is called its

• Relation in B A
• Range B
• Domain C
• Relation In A D

A conditional "if p then q" is denoted by

• 
  A
• 
  B
• 
  C
• 
  D

A disjunction of two statement p and q is true

• p is false A
• q is false B
• Both p and q are false C
• One of p and q is true D

The set (Z, +) forms a group

• Forms a group w.r.t. addition A
• Non commutative group w.r.t. multiplication B
• Forms a group w.r.t multiplication C
• Doesn't form a group D

The set of natural is a semi group w.r.t

• Addition A
• Division B
• Subtraction C
• None of these D

The number of proper subset of A ={a.b.c.d} is

• 3 A
• 6 B
• 8 C
• 15 D

The set {1, -1, i, -i}

• Form a group w.r.t addition A
• Form a group w.r.t multiplication B
• Does not form a group w.r.t multiplication C
• Not closed under multiplication D

• 
  A
• 
  B
• 
  C
• 
  D

A function in which the second elements of the order pairs are distinct is called

• Onto function A
• One-one function B
• Identity function C
• Inverse function D

A = B if

• 
  A
• 
  B
• 
  C
• A is equivalent to B D

The set {1,-1,i,-i}

• Form a group w.r.t addition A
• Form a group w.r.t multiplication B
• Does not form a group w.r.t multiplication C
• Not closed under multiplication D

The multiplicative inverse of -1 in the set {1-, 1} is

• 1 A
• -1 B
• +-1 C
• 0 D

If p and q are two statements then their conjunction is denoted by

• 
  A
• 
  B
• 
  C
• 
  D

If the intersection of two sets is non-empty, but either is a subset of other are called

• Disjoint sets A
• Over lapping B
• Equal sets C
• None of these D

The negation of given number is a

• Binary operation A
• Unary operation B
• Relation C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

• Singleton set A
• A set with two points B
• Empty set C
• None of these D

If A ⊆ B then A ∪ B is

• A A
• B B
• A' C
• A ∩B D

If S = {3,6,9,12.......}, then

• S = Four multiples of 3 A
• S = Set of even numbers B
• S = Set of prime numbers C
• S = All multiples of 3 D

• 
  A
• 
  B
• 
  C
• 
  D

If p and q are two statements then their biconditional 'p if q' is denoted by

• 
  A
• 
  B
• 
  C
• 
  D

• A = B A
• B = C B
• A = C C
• None of these D

If a set S contains "n" elements then P (S) has ...... number of elements

• 2ⁿ A
• 2²ⁿ B
• 2 . n C
• n² D

A - B = ______

• 
  A
• 
  B
• 
  C
• 
  D

If P is a proposition then its negative is denoted by

• 
  A
• 
  B
• 
  C
• 
  D

The set {{a,b}} is

• Infinite set A
• Singleton set B
• Two points set C
• None D